1 // Copyright (C) 2007-2013 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
17 // License along with this library; if not, write to the Free Software
18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.hxx
24 // Created: 15.02.06 14:48:09
25 // Author: Sergey KUUL
27 #ifndef SMESH_MesherHelper_HeaderFile
28 #define SMESH_MesherHelper_HeaderFile
30 #include "SMESH_SMESH.hxx"
32 #include "SMESH_MeshEditor.hxx" // needed for many meshers
33 #include <SMDS_MeshNode.hxx>
34 #include <SMDS_QuadraticEdge.hxx>
36 #include <Geom_Surface.hxx>
37 #include <TopoDS_Face.hxx>
38 #include <TopoDS_Shape.hxx>
39 #include <gp_Pnt2d.hxx>
44 class GeomAPI_ProjectPointOnSurf;
45 class GeomAPI_ProjectPointOnCurve;
46 class SMESH_ProxyMesh;
48 typedef std::map<SMESH_TLink, const SMDS_MeshNode*> TLinkNodeMap;
49 typedef std::map<SMESH_TLink, const SMDS_MeshNode*>::iterator ItTLinkNode;
51 typedef SMDS_Iterator<const TopoDS_Shape*> PShapeIterator;
52 typedef boost::shared_ptr< PShapeIterator > PShapeIteratorPtr;
54 typedef std::vector<const SMDS_MeshNode* > TNodeColumn;
55 typedef std::map< double, TNodeColumn > TParam2ColumnMap;
57 typedef gp_XY (*xyFunPtr)(const gp_XY& uv1, const gp_XY& uv2);
59 //=======================================================================
61 * \brief It helps meshers to add elements and provides other utilities
63 * - It allows meshers not to care about creation of medium nodes
64 * when filling a quadratic mesh. Helper does it itself.
65 * It defines order of elements to create when IsQuadraticSubMesh()
67 * - It provides information on a shape it is initialized with:
68 * periodicity, presence of singularities etc.
71 //=======================================================================
73 class SMESH_EXPORT SMESH_MesherHelper
76 // ---------- PUBLIC UTILITIES ----------
79 * \brief Returns true if all elements of a sub-mesh are of same shape
80 * \param smDS - sub-mesh to check elements of
81 * \param shape - expected shape of elements
82 * \param nullSubMeshRes - result value for the case of smDS == NULL
83 * \retval bool - check result
85 static bool IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
86 SMDSAbs_GeometryType shape,
87 const bool nullSubMeshRes = true);
90 * \brief Load nodes bound to face into a map of node columns
91 * \param theParam2ColumnMap - map of node columns to fill
92 * \param theFace - the face on which nodes are searched for
93 * \param theBaseSide - the edges holding nodes on which columns' bases
94 * \param theMesh - the mesh containing nodes
95 * \retval bool - false if something is wrong
97 * The key of the map is a normalized parameter of each
98 * base node on theBaseSide. Edges in theBaseSide must be sequenced.
99 * This method works in supposition that nodes on the face
100 * forms a structured grid and elements can be quardrangles or triangles
102 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
103 const TopoDS_Face& theFace,
104 const std::list<TopoDS_Edge>& theBaseSide,
105 SMESHDS_Mesh* theMesh,
106 SMESH_ProxyMesh* theProxyMesh=0);
108 * \brief Variant of LoadNodeColumns() above with theBaseSide given by one edge
110 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
111 const TopoDS_Face& theFace,
112 const TopoDS_Edge& theBaseEdge,
113 SMESHDS_Mesh* theMesh,
114 SMESH_ProxyMesh* theProxyMesh=0);
116 * \brief Return true if 2D mesh on FACE is structured
118 static bool IsStructured( SMESH_subMesh* faceSM );
121 * \brief Returns true if given node is medium
122 * \param n - node to check
123 * \param typeToCheck - type of elements containing the node to ask about node status
124 * \retval bool - check result
126 static bool IsMedium(const SMDS_MeshNode* node,
127 const SMDSAbs_ElementType typeToCheck = SMDSAbs_All);
129 * \brief Return support shape of a node
130 * \param node - the node
131 * \param meshDS - mesh DS
132 * \retval TopoDS_Shape - found support shape
134 static TopoDS_Shape GetSubShapeByNode(const SMDS_MeshNode* node,
135 const SMESHDS_Mesh* meshDS);
138 * \brief Return a valid node index, fixing the given one if necessary
139 * \param ind - node index
140 * \param nbNodes - total nb of nodes
141 * \retval int - valid node index
143 static int WrapIndex(const int ind, const int nbNodes) {
144 if ( ind < 0 ) return nbNodes + ind % nbNodes;
145 if ( ind >= nbNodes ) return ind % nbNodes;
150 * \brief Return UV of a point inside a quadrilateral FACE by it's
151 * normalized parameters within a unit quadrangle and the
152 * corresponding projections on sub-shapes of the real-world FACE.
153 * The used calculation method is called Trans-Finite Interpolation (TFI).
154 * \param x,y - normalized parameters that should be in range [0,1]
155 * \param a0,a1,a2,a3 - UV of VERTEXes of the FACE == projections on VERTEXes
156 * \param p0,p1,p2,p3 - UV of the point projections on EDGEs of the FACE
157 * \return gp_XY - UV of the point on the FACE
159 * Y ^ Order of those UV in the FACE is as follows.
167 * o---x-----o ----> X
170 inline static gp_XY calcTFI(double x, double y,
171 const gp_XY a0,const gp_XY a1,const gp_XY a2,const gp_XY a3,
172 const gp_XY p0,const gp_XY p1,const gp_XY p2,const gp_XY p3);
175 * \brief Same as "gp_XY calcTFI(...)" but in 3D
177 inline static gp_XYZ calcTFI(double x, double y,
178 const gp_XYZ a0,const gp_XYZ a1,const gp_XYZ a2,const gp_XYZ a3,
179 const gp_XYZ p0,const gp_XYZ p1,const gp_XYZ p2,const gp_XYZ p3);
181 * \brief Count nb of sub-shapes
182 * \param shape - the shape
183 * \param type - the type of sub-shapes to count
184 * \param ignoreSame - if true, use map not to count same shapes, esle use explorer
185 * \retval int - the calculated number
187 static int Count(const TopoDS_Shape& shape,
188 const TopAbs_ShapeEnum type,
189 const bool ignoreSame);
192 * \brief Return number of unique ancestors of the shape
194 static int NbAncestors(const TopoDS_Shape& shape,
195 const SMESH_Mesh& mesh,
196 TopAbs_ShapeEnum ancestorType=TopAbs_SHAPE);
198 * \brief Return iterator on ancestors of the given type
200 static PShapeIteratorPtr GetAncestors(const TopoDS_Shape& shape,
201 const SMESH_Mesh& mesh,
202 TopAbs_ShapeEnum ancestorType);
204 * \brief Find a common ancestor, of the given type, of two shapes
206 static TopoDS_Shape GetCommonAncestor(const TopoDS_Shape& shape1,
207 const TopoDS_Shape& shape2,
208 const SMESH_Mesh& mesh,
209 TopAbs_ShapeEnum ancestorType);
211 * \brief Return orientation of sub-shape in the main shape
213 static TopAbs_Orientation GetSubShapeOri(const TopoDS_Shape& shape,
214 const TopoDS_Shape& subShape);
216 static bool IsSubShape( const TopoDS_Shape& shape, const TopoDS_Shape& mainShape );
218 static bool IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh );
220 static double MaxTolerance( const TopoDS_Shape& shape );
222 static double GetAngle( const TopoDS_Edge & E1, const TopoDS_Edge & E2, const TopoDS_Face & F);
224 static bool IsClosedEdge( const TopoDS_Edge& anEdge );
226 static TopoDS_Vertex IthVertex( const bool is2nd, TopoDS_Edge anEdge, const bool CumOri=true );
228 static TopAbs_ShapeEnum GetGroupType(const TopoDS_Shape& group,
229 const bool avoidCompound=false);
233 // ---------- PUBLIC INSTANCE METHODS ----------
236 SMESH_MesherHelper(SMESH_Mesh& theMesh);
238 SMESH_Mesh* GetMesh() const { return myMesh; }
240 SMESHDS_Mesh* GetMeshDS() const { return GetMesh()->GetMeshDS(); }
243 * Check submesh for given shape: if all elements on this shape are quadratic,
244 * quadratic elements will be created. Also fill myTLinkNodeMap
246 bool IsQuadraticSubMesh(const TopoDS_Shape& theShape);
248 * \brief Set order of elements to create without calling IsQuadraticSubMesh()
252 * \brief Set myCreateQuadratic flag
254 void SetIsQuadratic(const bool theBuildQuadratic)
255 { myCreateQuadratic = theBuildQuadratic; }
258 * \brief Set myCreateBiQuadratic flag
260 void SetIsBiQuadratic(const bool theBuildBiQuadratic)
261 { myCreateBiQuadratic = theBuildBiQuadratic; }
264 * \brief Return myCreateQuadratic flag
266 bool GetIsQuadratic() const { return myCreateQuadratic; }
269 * \brief Find out elements orientation on a geometrical face
271 bool IsReversedSubMesh (const TopoDS_Face& theFace);
274 * \brief Return myCreateBiQuadratic flag
276 bool GetIsBiQuadratic() const { return myCreateBiQuadratic; }
279 * \brief Move medium nodes of faces and volumes to fix distorted elements
280 * \param error - container of fixed distorted elements
281 * \param volumeOnly - fix nodes on geom faces or not if the shape is solid
283 void FixQuadraticElements(SMESH_ComputeErrorPtr& error, bool volumeOnly=true);
286 * \brief To set created elements on the shape set by IsQuadraticSubMesh()
287 * or the next methods. By defaul elements are set on the shape if
288 * a mesh has no shape to be meshed
290 bool SetElementsOnShape(bool toSet)
291 { bool res = mySetElemOnShape; mySetElemOnShape = toSet; return res; }
294 * \brief Set shape to make elements on without calling IsQuadraticSubMesh()
296 void SetSubShape(const int subShapeID);//!==SMESHDS_Mesh::ShapeToIndex(shape)
297 void SetSubShape(const TopoDS_Shape& subShape);
299 * \brief Return ID of the shape set by IsQuadraticSubMesh() or SetSubShape()
300 * \retval int - shape index in SMESHDS
302 int GetSubShapeID() const { return myShapeID; }
304 * \brief Return the shape set by IsQuadraticSubMesh() or SetSubShape()
306 const TopoDS_Shape& GetSubShape() const { return myShape; }
309 * Creates a node (!Note ID before u=0.,v0.)
311 SMDS_MeshNode* AddNode(double x, double y, double z, int ID = 0, double u=0., double v=0.);
313 * Creates quadratic or linear edge
315 SMDS_MeshEdge* AddEdge(const SMDS_MeshNode* n1,
316 const SMDS_MeshNode* n2,
318 const bool force3d = true);
320 * Creates quadratic or linear triangle
322 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
323 const SMDS_MeshNode* n2,
324 const SMDS_MeshNode* n3,
326 const bool force3d = false);
328 * Creates bi-quadratic, quadratic or linear quadrangle
330 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
331 const SMDS_MeshNode* n2,
332 const SMDS_MeshNode* n3,
333 const SMDS_MeshNode* n4,
335 const bool force3d = false);
337 * Creates polygon, with additional nodes in quadratic mesh
339 SMDS_MeshFace* AddPolygonalFace (const std::vector<const SMDS_MeshNode*>& nodes,
341 const bool force3d = false);
343 * Creates quadratic or linear tetrahedron
345 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
346 const SMDS_MeshNode* n2,
347 const SMDS_MeshNode* n3,
348 const SMDS_MeshNode* n4,
350 const bool force3d = true);
352 * Creates quadratic or linear pyramid
354 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
355 const SMDS_MeshNode* n2,
356 const SMDS_MeshNode* n3,
357 const SMDS_MeshNode* n4,
358 const SMDS_MeshNode* n5,
360 const bool force3d = true);
362 * Creates quadratic or linear pentahedron
364 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
365 const SMDS_MeshNode* n2,
366 const SMDS_MeshNode* n3,
367 const SMDS_MeshNode* n4,
368 const SMDS_MeshNode* n5,
369 const SMDS_MeshNode* n6,
371 const bool force3d = true);
373 * Creates bi-quadratic, quadratic or linear hexahedron
375 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
376 const SMDS_MeshNode* n2,
377 const SMDS_MeshNode* n3,
378 const SMDS_MeshNode* n4,
379 const SMDS_MeshNode* n5,
380 const SMDS_MeshNode* n6,
381 const SMDS_MeshNode* n7,
382 const SMDS_MeshNode* n8,
384 bool force3d = true);
387 * Creates LINEAR!!!!!!!!! octahedron
389 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
390 const SMDS_MeshNode* n2,
391 const SMDS_MeshNode* n3,
392 const SMDS_MeshNode* n4,
393 const SMDS_MeshNode* n5,
394 const SMDS_MeshNode* n6,
395 const SMDS_MeshNode* n7,
396 const SMDS_MeshNode* n8,
397 const SMDS_MeshNode* n9,
398 const SMDS_MeshNode* n10,
399 const SMDS_MeshNode* n11,
400 const SMDS_MeshNode* n12,
402 bool force3d = true);
405 * Creates polyhedron. In quadratic mesh, adds medium nodes
407 SMDS_MeshVolume* AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
408 const std::vector<int>& quantities,
410 const bool force3d = true);
412 * \brief Enables fixing node parameters on EDGEs and FACEs by
413 * GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
414 * CheckNodeU() in case if a node lies on a shape set via SetSubShape().
417 void ToFixNodeParameters(bool toFix);
420 * \brief Return U of the given node on the edge
422 double GetNodeU(const TopoDS_Edge& theEdge,
423 const SMDS_MeshNode* theNode,
424 const SMDS_MeshNode* inEdgeNode=0,
425 bool* check=0) const;
427 * \brief Return node UV on face
428 * \param inFaceNode - a node of element being created located inside a face
429 * \param check - if provided, returns result of UV check that it enforces
431 gp_XY GetNodeUV(const TopoDS_Face& F,
432 const SMDS_MeshNode* n,
433 const SMDS_MeshNode* inFaceNode=0,
434 bool* check=0) const;
436 * \brief Check and fix node UV on a face
437 * \param force - check even if checks of other nodes on this face passed OK
438 * \param distXYZ - returns result distance and point coordinates
439 * \retval bool - false if UV is bad and could not be fixed
441 bool CheckNodeUV(const TopoDS_Face& F,
442 const SMDS_MeshNode* n,
445 const bool force=false,
446 double distXYZ[4]=0) const;
448 * \brief Check and fix node U on an edge
449 * \param force - check even if checks of other nodes on this edge passed OK
450 * \param distXYZ - returns result distance and point coordinates
451 * \retval bool - false if U is bad and could not be fixed
453 bool CheckNodeU(const TopoDS_Edge& E,
454 const SMDS_MeshNode* n,
457 const bool force=false,
458 double distXYZ[4]=0) const;
460 * \brief Return middle UV taking in account surface period
462 static gp_XY GetMiddleUV(const Handle(Geom_Surface)& surface,
466 * \brief Return UV for the central node of a biquadratic triangle
468 static gp_XY GetCenterUV(const gp_XY& uv1,
476 * \brief Define a pointer to wrapper over a function of gp_XY class,
477 * suitable to pass as xyFunPtr to applyIn2D().
478 * For exaple gp_XY_FunPtr(Added) defines pointer gp_XY_Added to function
479 * calling gp_XY::Added(gp_XY), which is to be used like following
480 * applyIn2D(surf, uv1, uv2, gp_XY_Added)
482 #define gp_XY_FunPtr(meth) \
483 static gp_XY __gpXY_##meth (const gp_XY& uv1, const gp_XY& uv2) { return uv1.meth( uv2 ); } \
484 static xyFunPtr gp_XY_##meth = & __gpXY_##meth
487 * \brief Perform given operation on two 2d points in parameric space of given surface.
488 * It takes into account period of the surface. Use gp_XY_FunPtr macro
489 * to easily define pointer to function of gp_XY class.
491 static gp_XY applyIn2D(const Handle(Geom_Surface)& surface,
495 const bool resultInPeriod=true);
498 * \brief Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
499 * \retval bool - return true if the face is periodic
501 * If F is Null, answer about subshape set through IsQuadraticSubMesh() or
504 bool GetNodeUVneedInFaceNode(const TopoDS_Face& F = TopoDS_Face()) const;
507 * \brief Return projector intitialized by given face without location, which is returned
509 GeomAPI_ProjectPointOnSurf& GetProjector(const TopoDS_Face& F,
510 TopLoc_Location& loc,
511 double tol=0 ) const;
514 * \brief Check if shape is a degenerated edge or it's vertex
515 * \param subShape - edge or vertex index in SMESHDS
516 * \retval bool - true if subShape is a degenerated shape
518 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called
520 bool IsDegenShape(const int subShape) const
521 { return myDegenShapeIds.find( subShape ) != myDegenShapeIds.end(); }
523 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
524 * has a degenerated edges
525 * \retval bool - true if it has
527 bool HasDegeneratedEdges() const { return !myDegenShapeIds.empty(); }
530 * \brief Check if shape is a seam edge or it's vertex
531 * \param subShape - edge or vertex index in SMESHDS
532 * \retval bool - true if subShape is a seam shape
534 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
535 * Seam shape has two 2D alternative represenations on the face
537 bool IsSeamShape(const int subShape) const
538 { return mySeamShapeIds.find( subShape ) != mySeamShapeIds.end(); }
540 * \brief Check if shape is a seam edge or it's vertex
541 * \param subShape - edge or vertex
542 * \retval bool - true if subShape is a seam shape
544 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
545 * Seam shape has two 2D alternative represenations on the face
547 bool IsSeamShape(const TopoDS_Shape& subShape) const
548 { return IsSeamShape( GetMeshDS()->ShapeToIndex( subShape )); }
550 * \brief Return true if an edge or a vertex encounters twice in face wire
551 * \param subShape - Id of edge or vertex
553 bool IsRealSeam(const int subShape) const
554 { return mySeamShapeIds.find( -subShape ) != mySeamShapeIds.end(); }
556 * \brief Return true if an edge or a vertex encounters twice in face wire
557 * \param subShape - edge or vertex
559 bool IsRealSeam(const TopoDS_Shape& subShape) const
560 { return IsRealSeam( GetMeshDS()->ShapeToIndex( subShape)); }
562 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
564 * \retval bool - true if it has
566 bool HasSeam() const { return !mySeamShapeIds.empty(); }
568 * \brief Return index of periodic parametric direction of a closed face
569 * \retval int - 1 for U, 2 for V direction
571 int GetPeriodicIndex() const { return myParIndex; }
573 * \brief Return an alternative parameter for a node on seam
575 double GetOtherParam(const double param) const;
578 * \brief Return existing or create new medium nodes between given ones
579 * \param force3d - true means node creation at the middle between the
580 * two given nodes, else node position is found on its
581 * supporting geometrical shape, if any.
583 const SMDS_MeshNode* GetMediumNode(const SMDS_MeshNode* n1,
584 const SMDS_MeshNode* n2,
587 * \brief Return existing or create a new central node for a quardilateral
588 * quadratic face given its 8 nodes.
589 * \param force3d - true means node creation in between the given nodes,
590 * else node position is found on a geometrical face if any.
592 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
593 const SMDS_MeshNode* n2,
594 const SMDS_MeshNode* n3,
595 const SMDS_MeshNode* n4,
596 const SMDS_MeshNode* n12,
597 const SMDS_MeshNode* n23,
598 const SMDS_MeshNode* n34,
599 const SMDS_MeshNode* n41,
602 * \brief Return existing or create a new central node for a
603 * quadratic triangle given its 6 nodes.
604 * \param force3d - true means node creation in between the given nodes,
605 * else node position is found on a geometrical face if any.
607 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
608 const SMDS_MeshNode* n2,
609 const SMDS_MeshNode* n3,
610 const SMDS_MeshNode* n12,
611 const SMDS_MeshNode* n23,
612 const SMDS_MeshNode* n31,
615 * \brief Return index and type of the shape (EDGE or FACE only) to set a medium node on
617 std::pair<int, TopAbs_ShapeEnum> GetMediumPos(const SMDS_MeshNode* n1,
618 const SMDS_MeshNode* n2,
619 const bool useCurSubShape=false);
621 * \brief Add a link in my data structure
623 void AddTLinkNode(const SMDS_MeshNode* n1,
624 const SMDS_MeshNode* n2,
625 const SMDS_MeshNode* n12);
627 * \brief Add many links in my data structure
629 void AddTLinkNodeMap(const TLinkNodeMap& aMap)
630 { myTLinkNodeMap.insert(aMap.begin(), aMap.end()); }
632 void AddTLinks(const SMDS_MeshEdge* edge);
633 void AddTLinks(const SMDS_MeshFace* face);
634 void AddTLinks(const SMDS_MeshVolume* vol);
637 * Returns myTLinkNodeMap
639 const TLinkNodeMap& GetTLinkNodeMap() const { return myTLinkNodeMap; }
642 * Check mesh without geometry for: if all elements on this shape are quadratic,
643 * quadratic elements will be created.
644 * Used then generated 3D mesh without geometry.
646 enum MType{ LINEAR, QUADRATIC, COMP };
647 MType IsQuadraticMesh();
649 virtual ~SMESH_MesherHelper();
654 * \brief Select UV on either of 2 pcurves of a seam edge, closest to the given UV
655 * \param uv1 - UV on the seam
656 * \param uv2 - UV within a face
657 * \retval gp_Pnt2d - selected UV
659 gp_Pnt2d GetUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const;
661 const SMDS_MeshNode* getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
662 const SMDS_MeshNode* n2,
666 // Forbiden copy constructor
667 SMESH_MesherHelper (const SMESH_MesherHelper& theOther);
669 // key of a map of bi-quadratic face to it's central node
670 struct TBiQuad: public std::pair<int, std::pair<int, int> >
672 TBiQuad(const SMDS_MeshNode* n1,
673 const SMDS_MeshNode* n2,
674 const SMDS_MeshNode* n3,
675 const SMDS_MeshNode* n4=0)
681 if ( n4 ) s.insert(n4);
682 TIDSortedNodeSet::iterator n = s.begin();
683 first = (*n++)->GetID();
684 second.first = (*n++)->GetID();
685 second.second = (*n++)->GetID();
689 // maps used during creation of quadratic elements
690 TLinkNodeMap myTLinkNodeMap; // medium nodes on links
691 std::map< TBiQuad, const SMDS_MeshNode* > myMapWithCentralNode; // central nodes of faces
693 std::set< int > myDegenShapeIds;
694 std::set< int > mySeamShapeIds;
695 double myPar1[2], myPar2[2]; // U and V bounds of a closed periodic surface
696 int myParIndex; // bounds' index (1-U, 2-V, 3-both)
698 typedef std::map< int, GeomAPI_ProjectPointOnSurf* > TID2ProjectorOnSurf;
699 TID2ProjectorOnSurf myFace2Projector;
700 typedef std::map< int, GeomAPI_ProjectPointOnCurve* > TID2ProjectorOnCurve;
701 TID2ProjectorOnCurve myEdge2Projector;
703 TopoDS_Shape myShape;
707 bool myCreateQuadratic;
708 bool myCreateBiQuadratic;
709 bool mySetElemOnShape;
710 bool myFixNodeParameters;
712 std::map< int,bool > myNodePosShapesValidity;
713 bool toCheckPosOnShape(int shapeID ) const;
714 void setPosOnShapeValidity(int shapeID, bool ok ) const;
717 //=======================================================================
719 SMESH_MesherHelper::calcTFI(double x, double y,
720 const gp_XY a0,const gp_XY a1,const gp_XY a2,const gp_XY a3,
721 const gp_XY p0,const gp_XY p1,const gp_XY p2,const gp_XY p3)
724 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
725 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
727 //=======================================================================
729 SMESH_MesherHelper::calcTFI(double x, double y,
730 const gp_XYZ a0,const gp_XYZ a1,const gp_XYZ a2,const gp_XYZ a3,
731 const gp_XYZ p0,const gp_XYZ p1,const gp_XYZ p2,const gp_XYZ p3)
734 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
735 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
737 //=======================================================================